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A078742 a(n) = smallest Fibonacci number > a(n-1) such that a(1) + ... + a(n) is prime. 1
2, 3, 8, 34, 144, 46368 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

a(7), if it exists, > 10^15

EXAMPLE

a(1)=2, the smallest Fibonacci number to be prime. The smallest Fibonacci number >2 that yields a prime when added to 2 is 3, so a(2)=3. The smallest Fibonacci number > 3 that yields a prime when added to 2+3 is 8 so a(3)=8.

CROSSREFS

Cf. A000045, A078727, A078743.

Sequence in context: A162052 A082569 A084908 * A005370 A112866 A041657

Adjacent sequences:  A078739 A078740 A078741 * A078743 A078744 A078745

KEYWORD

nonn

AUTHOR

N. Fernandez (primeness(AT)borve.org), Dec 21 2002

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Last modified February 16 19:47 EST 2012. Contains 205953 sequences.